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3685100101 is a prime number
BaseRepresentation
bin1101101110100110…
…0010101001000101
3100111211011110222221
43123221202221011
530021341200401
61405400252341
7160214556034
oct33351425105
910454143887
103685100101
111621163281
1286a1710b1
13469607a07
1426d5c271b
151687c17a1
hexdba62a45

3685100101 has 2 divisors, whose sum is σ = 3685100102. Its totient is φ = 3685100100.

The previous prime is 3685100087. The next prime is 3685100197. The reversal of 3685100101 is 1010015863.

3685100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2144616100 + 1540484001 = 46310^2 + 39249^2 .

It is a cyclic number.

It is not a de Polignac number, because 3685100101 - 29 = 3685099589 is a prime.

It is a super-3 number, since 3×36851001013 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3685100401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1842550050 + 1842550051.

It is an arithmetic number, because the mean of its divisors is an integer number (1842550051).

Almost surely, 23685100101 is an apocalyptic number.

It is an amenable number.

3685100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3685100101 is an equidigital number, since it uses as much as digits as its factorization.

3685100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 3685100101 is about 60705.0253356343. The cubic root of 3685100101 is about 1544.6014201387.

Adding to 3685100101 its reverse (1010015863), we get a palindrome (4695115964).

The spelling of 3685100101 in words is "three billion, six hundred eighty-five million, one hundred thousand, one hundred one".